``MAPLE analysis of nonlinear oscillations

DOI10.1016/0895-7177(92)90105-TzbMath0765.65076MaRDI QIDQ1206169

Shiqi Wang, Koncay Huseyin

Publication date: 1 April 1993

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsnumerical examplesperturbation methodMAPLEautonomous systemsnonlinear dynamical systemsvan der Pol oscillatorTaylor series expansionnonautonomous systemsDuffing-oscillatorintrinsic harmonic balancingnonlinear autonomous and nonautonomous oscillationssymbolic manipulation computer language

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Dynamical systems and ergodic theory (37-XX)

Related Items (2)

Resonance analysis of nonlinear systems with compound critical points ⋮ Bifurcations and stability properties of nonlinear systems with symbolic software

Uses Software

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Cites Work

• An intrinsic method of harmonic analysis for non-linear oscillations (a perturbation technique)
• A note on “a uniformly valid asymptotic solution for d2y/dt2 + y = a + εy2”
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